Consider a portfolio that offers an expected rate of return of 13% and a standard deviation of 20%. T-bills offer a risk-free 4% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Maximum level of risk aversion must be

Consider a portfolio that offers an expected rate of return of 13% and a standard deviation of 20%. T-bills offer a risk-free 4% rate of return. What is the maximum level of risk aversion for which the risky portfolio is still preferred to T-bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Maximum level of risk aversion must be

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 41%. The T-bill rate is 4% A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 30%. Required: a. What is the investment proportion, y? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y % b. What is the expected rate of return on the overall portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return %
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 0.14 and a standard deviation of return of 0.18. Stock B has an expected return of 0.15 and a standard deviation of return of 0.23. The correlation coefficient between the returns of A and B is 0.67. The risk-free rate of return is 0.11. The proportion of the optimal risky portfolio that should be invested in stock A is Please answer in decimal terms rounded to four decimal places.
Find the tangency portfolio mathematically (or mean-variance efficient portfolio). Follow the next steps): (look picture)
Calculate the expected return from the following security using the CAPM Capital Asset Pricing Model: Standard Deviation of Security = 0.18 Standard Deviation of Market Portfolio = 0.10 Expected Return on Market Portfolio = 0.09 Correlation between possible Returns for the Security and the Market Portfolio = 0.70. Expected Risk Free Rate = 0.03
Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation of 27%, if the current risk free rate is 5% what is the optimal percentage to invest in ORP (y*)? Please write all percentages as decimals (for example write .242 instead of 24.2%). Use a risk aversion measure (A) of 2. Note: Correct answer is 0.8230 Please explain?
Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
Suppose that optimal risky portfolio has an expected return of 16% and a varianceof 0.04. The risk-free rate is 4%.a) Find the slope of Capital Market Line (Optimal Capital Allocation Line)?b) What is the expected return of a portfolio C, which is on Capital Market Line and has astandard deviation of 0.08?
The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.
Asset W has an expected return of 12.6 percent and a beta of 1.25. If the risk-free rate is 4.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Asset W 0% 25 50 75 100 125 150 - Slope of the line Portfolio Expected Return % % % % % % % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Portfolio Beta %
Suppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, p_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.
There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).

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